How do you find the greatest common factor of the following monomials: 4c, 18c?

1 Answer
Mar 18, 2018

Answer:

See a solution process below:

Explanation:

Find the prime factors for each number as:

#4c = 2 xx 2 xx c#

#18c = 2 xx 3 xx 3 xx c#

Now identify the common factors and determine the GCF:

#4c = color(red)(2) xx 2 xx color(red)(c)#

#18c = color(red)(2) xx 3 xx 3 xx color(red)(c)#

Therefore:

#"GCF" = color(red)(2) xx color(red)(c)# = 2c#